介绍与新型冠状病毒相关的理论和数据评估的新型arc cosine-Ψ分布类
Aijaz Ahmad1, Aafaq A Rather2, Ohud A Alqasem3
1Department of Mathematics, Bhagwant University, Ajmer, India.
Scientific reports
|April 16, 2025
概括
使用三角学方法的新Arc cos-Ψ分布,为对称和不对称数据提供灵活的概率建模. 这种新型生成器对复杂的数据集,包括COVID-19应用程序,显示出有前途.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 数学建模的数学建模
背景情况:
- 三角函数越来越多地被整合到先进的概率模型中.
- 现有的模型可能对各种数据模式缺乏灵活性.
研究的目的:
- 介绍了一个新的三角形几何概率分布,Arc cos-Ψ分布.
- 调查其数学属性和估计技术.
- 证明它对现实世界复杂数据的适用性.
主要方法:
- 开发一个新的概率发生器,基于Arc cosine函数.
- 关键数学属性的理论分析 (时刻,量子数,值).
- 通过多种方法进行参数估计,通过数值和模拟研究进行评估.
主要成果:
- 弧形cos-Ψ分布表现出灵活的概率密度和危险率函数.
- 综合分析证实了其独特的数学特征.
- 证明了与现实世界数据集,包括COVID-19数据的特殊适应性.
结论:
- 弧形cos-Ψ分布是统计建模的一个多功能和有价值的工具.
- 它的独特特性使复杂和多样化的数据集能够得到有效的分析.
- 这种三角函数生成器增强了模拟复杂数据结构的能力.
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